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A thought occurs to me.
While normally becoming a psyker is a rare thing and a fluke of fate, there is one type of psyker that is given a near guarantee of spawning (give or take some losses from mutation): Navigators. Through ancient gene-science, and intentional selective breeding only among their kind, they always spawn more navigators.
If Navigators are proof of the ability to create consistent psykers, how feasible would it be to create a form of consistent Blank? Noble houses or Guild Families perhaps.
Well, there's actually a second way to consistently create blanks and that's the Emperor creating Sensei with mortals, but he hasn't done that in a long time and its too early for Talos to test it himself